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21931940 = 2256117977
BaseRepresentation
bin101001110101…
…0011110100100
31112021020222002
41103222132210
521103310230
62102024432
7354263342
oct123523644
945236862
1021931940
111141a878
127418118
13470b8a4
142cac992
151dd3545
hex14ea7a4

21931940 has 24 divisors (see below), whose sum is σ = 46814712. Its totient is φ = 8628480.

The previous prime is 21931933. The next prime is 21931963. The reversal of 21931940 is 4913912.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 21921124 = 104^2 + 4682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7769 + ... + 10208.

It is an arithmetic number, because the mean of its divisors is an integer number (1950613).

Almost surely, 221931940 is an apocalyptic number.

21931940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21931940 is an abundant number, since it is smaller than the sum of its proper divisors (24882772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21931940 is a wasteful number, since it uses less digits than its factorization.

21931940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18047 (or 18045 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 21931940 is about 4683.1549194960. The cubic root of 21931940 is about 279.9146848918.

The spelling of 21931940 in words is "twenty-one million, nine hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 17977 35954 71908 89885 179770 359540 1096597 2193194 4386388 5482985 10965970 21931940